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Finding the Third Proportional to 241,736 and 512,287

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Solution

The third proportional to 241,736 and 512,287 is: 1,085,638.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,736 : 512,287 = 512,287 : x
  2. Step 2: Convert to fraction form
    241,736/512,287 = 512,287/x
  3. Step 3: Cross multiply
    241,736x = 512,287 × 512,287
  4. Step 4: Simplify right side
    241,736x = 262,437,970,369
  5. Step 5: Solve for x
    x = 262,437,970,369/241,736
  6. Step 6: Final answer
    x = 1,085,638.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.